Final answer:
To isolate the variable in the equation 6.1p = 4.5, you would divide both sides by 6.1. However, if the variable was being divided by 4.5, then you would multiply both sides by 4.5 to isolate it.
Step-by-step explanation:
You would multiply both sides of the equation by 4.5 when the variable you are trying to isolate is being divided by 4.5. In the case of your equation, 6.1p = 4.5, if we wish to isolate p, we need to divide both sides by 6.1, not multiply. To find an equation where you would multiply both sides by 4.5 to isolate the variable, we would be looking for a situation where the variable is on one side of the equation and is being divided by 4.5 on the other side, such as this: p/4.5 = x. Here, multiplying both sides by 4.5 would eliminate the denominator and isolate the variable p.